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Sagot :
The formula that describes the sequence given i.e. [tex]\frac{-2}{3}[/tex],-4,-24,-144 (geometric sequence) is [tex](\frac{-2}{3} )(6)^{n-1}[/tex]
Geometric progression:
A geometric progression or a geometric sequence is a series, in which each word is varied by another by a common ratio. When we multiply the previous term by a constant (which is non-zero), we get the following term in the sequence. It is symbolized by:
A, AR,[tex]AR^{2}[/tex],[tex]AR^{3}[/tex]...
Where A is the first term of the geometric sequence and R is the common ratio of the geometric sequence.
The general term of geometric sequence i.e. nth term =[tex]AR^{n-1}[/tex]
Given that A= [tex]\frac{-2}{3}[/tex] and R=6
As a result the general term of geometric sequence i.e. nth term =[tex](\frac{-2}{3} )(6)^{n-1}[/tex]
Therefore,The formula that describes the geometric sequence given i.e. [tex]\frac{-2}{3}[/tex],-4,-24,-144 is [tex](\frac{-2}{3} )(6)^{n-1}[/tex]
Learn more about geometric sequence here:
https://brainly.com/question/11266123
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